nLab William Dwyer

William G. Dwyer is a mathematician at the University of Notre Dame.

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Selected articles

On the $G$-Borel model structure and its Quillen equivalence with the slice model structure over the simplicial classifying space $\overline W G$:

• Emmanuel Dror, William Dwyer, Daniel Kan, Equivariant maps which are self homotopy equivalences, Proc. Amer. Math. Soc. 80 (1980), no. 4, 670–672 (jstor:2043448)

On simplicial localization:

• William Dwyer, Daniel Kan, Simplicial localizations of categories, J. Pure Appl. Algebra 17 3 (1980), 267-284 [doi:10.1016/0022-4049(80)90049-3, pdf]

• William Dwyer, Daniel Kan, Calculating simplicial localizations, J. Pure Appl. Algebra 18 (1980), 17-35 [doi:10.1016/0022-4049(80)90113-9, pdf]

• William Dwyer, Daniel Kan, Function complexes in homotopical algebra, Topology 19 (1980), 427-440 [doi:10.1016/0040-9383(80)90025-7, pdf]

• William Dwyer, Daniel Kan, Equivalences between homotopy theories of diagrams, in: Algebraic topology and algebraic K-theory, Ann. of Math. Stud. 113, Princeton University Press (1988) [doi:10.1515/9781400882113-009]

On derived hom-spaces (function complexes) in projective model structures on simplicial presheaves:

• William Dwyer, Daniel Kan, Function complexes for diagrams of simplicial sets, Indagationes Mathematicae (Proceedings) 86 2 (1983) 139-147 [doi:10.1016/1385-7258(83)90051-3, pdf]

On (enhancement and generalization of) Elmendorf's theorem in equivariant homotopy theory:

• William Dwyer, Daniel Kan, Singular functors and realization functors, Indagationes Mathematicae (Proceedings) Volume 87, Issue 2, 1984, Pages 147-153 (doi:10.1016/1385-7258(84)90016-7)

Introducing the model structure on simplicial groupoids:

• William Dwyer, Daniel Kan, Homotopy theory and simplicial groupoids, Indagationes Mathematicae (Proceedings) 87 4 (1984) 379-385 [doi:10.1016/1385-7258(84)90038-6]

On homotopy commutative diagrams:

• William Dwyer, Dan Kan, Jeff Smith, Homotopy commutative diagrams and their realizations, Journal of Pure and Applied Algebra 57 (1989) 5-24 (doi:10.1016/0022-4049(89)90023-6)

On p-compact groups:

• William Dwyer, Clarence Wilkerson, Homotopy Fixed-point Methods for Lie Groups and Finite Loop Spaces, Annals of Mathematics Second Series, Vol. 139, No. 2 (Mar., 1994), pp. 395-442 (jstor:2946585)

Introducing the Dwyer-Wilkerson H-space:

• William Dwyer, Clarence Wilkerson, A new finite loop space at the prime two, J. Amer. Math. Soc. 6 (1993), 37-64 (doi:10.1090/S0894-0347-1993-1161306-9)

On homotopy theory and model categories:

• William Dwyer, Jan Spalinski, Homotopy theories and model categories (pdf)

  in: I. M. James, Handbook of Algebraic Topology, North Holland 1995 (ISBN:9780080532981, doi:10.1016/B978-0-444-81779-2.X5000-7)

On homotopy theoretic methods in group cohomology:

• William G. Dwyer, Hans-Werner Henn, Homotopy Theoretic Methods in Group Cohomology, Advanced Courses in Mathematics - CRM Barcelona, Springer (2001) [doi:10.1007/978-3-0348-8356-6]

On derived functors such as homotopy limit-functors on model categories and more general homotopical categories:

• William Dwyer, Philip Hirschhorn, Daniel Kan, Jeff Smith, Homotopy Limit Functors on Model Categories and Homotopical Categories, Mathematical Surveys and Monographs 113, AMS 2004 (ISBN: 978-1-4704-1340-8, pdf)

On localization in homotopy theory:

• William Dwyer, Localizations, in: Axiomatic, enriched and motivic homotopy theory, NATO Sci. Ser. II 131, Kluwer Acad. Publ. (2004) 3-28 [doi:10.1007/978-94-007-0948-5]

On homotopy theory and classifying spaces:

• William Dwyer, Homotopy theory of classifying spaces, Lecture notes, Copenhagen 2008, (pdf, pdf)

Related entries

• Dwyer-Kan localization

• Dwyer-Kan loop groupoid

category: people